355312 has 20 divisors (see below), whose sum is σ = 703080. Its totient is φ = 173888.

The previous prime is 355307. The next prime is 355321. The reversal of 355312 is 213553.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 355312.

It is a congruent number.

It is an unprimeable number.

355312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 639 + ... + 1057.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2³⁵⁵³¹² is an apocalyptic number.

It is an amenable number.

355312 is a deficient number, since it is larger than the sum of its proper divisors (347768).

355312 is a wasteful number, since it uses less digits than its factorization.

355312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its digits is 450, while the sum is 19.

The square root of 355312 is about 596.0805314720. The cubic root of 355312 is about 70.8277248924.

Adding to 355312 its reverse (213553), we get a palindrome (568865).

The spelling of 355312 in words is "three hundred fifty-five thousand, three hundred twelve".